A240890 Number of nX5 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order

8, 116, 1485, 19065, 245268, 3146755, 40424861, 519218802, 6669141957, 85661208693, 1100266812500, 14132294288479, 181521187277681, 2331535718787322, 29947240904675409, 384655164983132569

Offset

1,1

Comments

Column 5 of A240893

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 16*a(n-1) -22*a(n-2) -276*a(n-3) +543*a(n-4) +1114*a(n-5) -24150*a(n-6) -6509*a(n-7) +197916*a(n-8) +80150*a(n-9) -592045*a(n-10) +4684412*a(n-11) +15106341*a(n-12) -17190009*a(n-13) -90244020*a(n-14) -91211136*a(n-15) -290130772*a(n-16) -407134336*a(n-17) +671095240*a(n-18) +2173631712*a(n-19) +6313455104*a(n-20) +12278947872*a(n-21) +8033752064*a(n-22) +6113760384*a(n-23) -31674604288*a(n-24) -122704805888*a(n-25) -110531544064*a(n-26) -270879311872*a(n-27) -593695940608*a(n-28) +82971942912*a(n-29) +283392655360*a(n-30) -69979668480*a(n-31) +3328745078784*a(n-32) +4282541146112*a(n-33) +2076075098112*a(n-34) +9789286383616*a(n-35) +7759030386688*a(n-36) +1140229931008*a(n-37) +7107835330560*a(n-38) -2054940524544*a(n-39) -10791105331200*a(n-40) -2076616687616*a(n-41) -14566381584384*a(n-42) -20598663151616*a(n-43) -2336462209024*a(n-44) -13056700579840*a(n-45) -3848290697216*a(n-46) +3298534883328*a(n-47) -4398046511104*a(n-48)

Example

Some solutions for n=4
..0..1..2..1..0....0..1..1..2..0....0..1..1..2..0....0..1..2..1..2
..1..0..1..2..1....1..1..1..1..2....2..1..1..0..2....1..2..1..0..1
..2..1..0..1..0....1..1..1..1..0....1..0..0..1..0....2..1..0..2..2
..0..2..1..0..2....2..1..1..0..1....2..0..0..2..1....1..0..1..2..2

Crossrefs

Sequence in context: A293992 A220575 A380078 * A241105 A214695 A235338

Adjacent sequences: A240887 A240888 A240889 * A240891 A240892 A240893

Keyword

nonn

Author

R. H. Hardin, Apr 14 2014

Status

approved